Finding the Fourth Proportional to 2,583.50, 3,875.50 and 828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.50 : 3,875.50 = 828.06 : x
2. Step 2: Convert to fraction form
   2,583.50/3,875.50 = 828.06/x
3. Step 3: Cross multiply
   2,583.50x = 3,875.50 × 828.06
4. Step 4: Simplify right side
   2,583.50x = 3,209,148.60
5. Step 5: Solve for x
   x = 3,209,148.60/2,583.50
6. Step 6: Final answer
   x = 1,242.17